what is the frame work of application management services?

Application Management Services Framework (AMSF) is an approach to outsourcing management through a well-defined, custom-developed set of processes, policies, procedures, standards and templates.
AMSF embodies a number of specific methodologies fully equipped to deliver various engagement results.
These methodologies include defined processes with appropriate tools and techniques such as standards, guidelines, templates, forms, checklists, etc.
Each methodology derives value from quality-oriented activities at various stages and checkpoints throughout the life-cycle.
These include planning, governance, verifications and validations, auditing and status reviews.
The methodologies are always customized to fit the needs of the engagement

You asked me to answer this Q , and I'm sorry, I don't know it will.
it seems to be more academic, I advise you to make an Internet search.

ManageEngine Applications Manager is a server and application performance monitoring software that helps businesses ensure high availability and performance for their business applications by ensuring servers and applications have high uptime.
The application performance management capability includes server monitoring, application server monitoring, database monitoring, web services monitoring, virtualization monitoring, cloud monitoring and an array of other application management capability that will help IT administrators manage their resources effectively.

That is a hard question for me to answer as it is not my field of specialty and I found that Mr.
Ibrahim Asmar gave a good answer.